Search a number
-
+
96602616 = 233211283431
BaseRepresentation
bin1011100001000…
…00100111111000
320201202220212200
411300200213320
5144212240431
613330310200
72252052165
oct560404770
9221686780
1096602616
114a590a80
1228428360
1317024316
14cb8906c
158732ee6
hex5c209f8

96602616 has 96 divisors (see below), whose sum is σ = 287089920. Its totient is φ = 29102400.

The previous prime is 96602581. The next prime is 96602617. The reversal of 96602616 is 61620669.

It is a happy number.

It is a super-4 number, since 4×966026164 (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96602617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223921 + ... + 224351.

It is an arithmetic number, because the mean of its divisors is an integer number (2990520).

Almost surely, 296602616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96602616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143544960).

96602616 is an abundant number, since it is smaller than the sum of its proper divisors (190487304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96602616 is a wasteful number, since it uses less digits than its factorization.

96602616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 96602616 is about 9828.6629813012. The cubic root of 96602616 is about 458.8417869287.

The spelling of 96602616 in words is "ninety-six million, six hundred two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 283 396 431 566 792 849 862 1132 1293 1698 1724 2264 2547 2586 3113 3396 3448 3879 4741 5094 5172 6226 6792 7758 9339 9482 10188 10344 12452 14223 15516 18678 18964 20376 24904 28017 28446 31032 37356 37928 42669 56034 56892 74712 85338 112068 113784 121973 170676 224136 243946 341352 365919 487892 731838 975784 1097757 1341703 1463676 2195514 2683406 2927352 4025109 4391028 5366812 8050218 8782056 10733624 12075327 16100436 24150654 32200872 48301308 96602616